Prof Anita Tomar | Nonlinear Functional Analysis | Best Researcher Award |

Prof. Anita Tomar | Nonlinear Functional Analysis | Best Researcher Award |Β 

Head, atPt. L. M. S. Campus, Sri Dev Suman Uttarakhand University, Rishikesh, Uttarakhand , India.

Prof. Anita Tomar is a distinguished mathematician and academic leader, serving as Professor and Head of the Department of Mathematics at Pt. L. M. S. Campus, Sri Dev Suman Uttarakhand University, Rishikesh. With over 25 years of teaching and research experience, she has significantly contributed to the field of Fixed Point Theory, Fractals, and Nonlinear Functional Analysis. Her work has influenced both academia and policy, particularly in curriculum development under NEP 2020.

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Education πŸŽ“

Prof. Tomar holds a Ph.D. in Mathematics (2003) with a thesis on “Coincidences and Fixed Points of Single-Valued and Multivalued Maps.” She completed her M.Phil. (1986) and M.Sc. (1985) in Mathematics, both with first-division honors. Her academic journey is complemented by orientation and refresher courses from prestigious institutions like Lucknow University, Aligarh Muslim University, and Jamia Millia Islamia.

Professional Experience πŸ’Ό

With 25+ years of experience, Prof. Tomar has been a Public Service Commission-selected faculty and has played a crucial role in academia. She is a life member of leading mathematical societies, including the Indian Mathematical Society and Indian Society for the History of Mathematics. Additionally, she serves as a subject expert for the Uttarakhand Subordinate Service Selection Commission (UKSSSC) and has been a key contributor to national curriculum development initiatives.

Research Interests 🌍

Her primary research areas include Fixed Point Theory and its Applications, Fractals, and Nonlinear Functional Analysis. She has made substantial contributions to mathematical modeling and computational techniques, impacting various interdisciplinary applications. She has also played a key role in syllabus development for mathematics and statistics under the National Education Policy (NEP) 2020, shaping the future of mathematics education in Uttarakhand.

Awards & Honors πŸ†

Prof. Tomar has received numerous prestigious awards for her contributions to research and education, including:

Excellence in Research Award (2023) – Government of Uttarakhand, UCOST, and ONGC.

Chief Minister Excellence and Good Governance Award (2020-21) – Recognized for outstanding academic leadership.

Women Scientist Award (2021) – Uttarakhand Council of Science and Technology (UCOST).

Teacher of the Year (2020) – Honored for excellence in teaching and mentorship.

Top Noted Publications πŸ“š

Weaker Forms of Commuting Maps and Existence of Fixed Points – SL Singh, A Tomar – 101 citations – J. Korea. Soc. Math. Educ. Ser. B: Pure Appl. Math., 2003

Fixed Point to Fixed Ellipse in Metric Spaces and Discontinuous Activation Function – M Joshi, A Tomar, SK Padaliya – 39 citations – Appl. Math. E-Notes, 2021

Fixed Point to Fixed Circle and Activation Function in Partial Metric Space – A Tomar, M Joshi, SK Padaliya – 31 citations – J. Appl. Anal., 2021 (DOI: 10.1155/2021/5525472)

On Fixed Points, Their Geometry and Application to Satellite Web Coupling Problem in Metric Spaces – M Joshi, A Tomar, T Abdeljawad – 29 citations – AIMS Mathematics, 2023

On Unique and Nonunique Fixed Points and Fixed Circles in Mbv-Metric Space and Application to Cantilever Beam Problem – M Joshi, A Tomar, AH Nabwey, R George – 28 citations – Journal of Function Spaces, 2021 (Article ID: 6681044)

Some Coincidence and Common Fixed Point Theorems Concerning F-Contraction and Applications – A Tomar, R Sharma – 25 citations – J. Internat. Math. Virtual Institute, 2018

Conclusion

Dr. Anita Tomar is a highly suitable candidate for the Best Researcher Award, given her extensive research output, awards, and contributions to academia. Strengthening international collaborations and securing funded projects would further elevate her profile for global recognition.

Prof Volodymyr Mikhailets | Analysis | Best Researcher Award |

Prof. Volodymyr Mikhailets | Analysis | Best Researcher Award

head of laboratory, at Institute of Mathematics of the National Academy of Sciences of Ukraine, Ukraine.

Prof. Volodymyr Mikhailets is a distinguished mathematician specializing in Partial Differential Equations (PDEs), Functional Analysis, and Mathematical Physics. With an academic career spanning over five decades, he has significantly contributed to spectral theory, interpolation methods, and Hilbert scales. Currently, he serves as a Visiting Professor at King’s College London and leads the Laboratory of PDEs at the Institute of Mathematics, National Academy of Sciences of Ukraine. His work has had a profound impact on both theoretical mathematics and applied mathematical models.

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Education πŸŽ“

Prof. Mikhailets earned his Ph.D. in Mathematics (1976) and later a Doctor of Physical and Mathematical Sciences (Dr. habil., 1990) from the Institute of Mathematics, NAS of Ukraine. He completed his M.Sc. (1972) and B.Sc. (1971) in Mathematics with honors from Taras Shevchenko National University of Kyiv.

Professional Experience πŸ’Ό

Prof. Mikhailets has held several key academic and research positions. Since 2019, he has been the Head of the Laboratory of PDEs at the Institute of Mathematics, NAS of Ukraine. He has served as a researcher at the Institute of Mathematics, Czech Academy of Sciences (2022–2024) and was a professor at the National Technical University of Ukraine (2013–2022). His previous positions also include professorships in Poland and research roles at NAS Ukraine since 1975.

Research Interests 🌍

His research primarily revolves around functional analysis, spectral theory, interpolation spaces, and differential equations. He has made significant advancements in the theory of Hilbert scales, elliptic and parabolic problems, and spectral properties of differential operators. His contributions extend to mathematical physics, particularly in the study of SchrΓΆdinger operators and eigenvalue problems.

Awards & Honors πŸ†

Throughout his career, Prof. Mikhailets has been recognized for his outstanding contributions to mathematics. He has received multiple accolades from the National Academy of Sciences of Ukraine and has been invited to prestigious international research institutes in Poland, the Czech Republic, and the United Kingdom. His work continues to influence modern mathematical theory and applications.

Top Noted Publications πŸ“š

HΓΆrmander Spaces, Interpolation, and Elliptic Problems – V.A. Mikhailets, A.A. Murach – 127 citations – 2014

The Refined Sobolev Scale, Interpolation, and Elliptic Problems – V.A. Mikhailets, A.A. Murach – 102 citations – 2012

Improved Scales of Spaces and Elliptic Boundary-Value Problems II – V.A. Mikhailets, A.A. Murach – 81 citations – 2006

Interpolation with a Function Parameter and Refined Scale of Spaces – V.A. Mikhailets, A.A. Murach – 73 citations – 2007

Interpolation Hilbert Spaces Between Sobolev Spaces – V.A. Mikhailets, A.A. Murach – 62 citations – 2011

Conclusion

Dr. Mikhailets Volodymyr is a highly accomplished researcher in mathematics with a strong international reputation, leadership experience, and significant contributions to PDEs and mathematical physics. While his impact within mathematics is outstanding, his influence in broader interdisciplinary applications and global research awards could be expanded.